Verification with Natural Contexts: Soundness of Safe Compositional Network Sketches

In research areas involving mathematical rigor, there are numerous benefits to adopting a formal representation of models and arguments: reusability, automatic evaluation of examples, and verification of consistency and correctness. However, accessibility has not been a priority in the design of formal verification tools that can provide these benefits. In earlier work [30] we attempt to address this broad problem by proposing several specific design criteria organized around the notion of a natural context: the sphere of awareness a working human user maintains of the relevant constructs, arguments, experiences, and background materials necessary to accomplish the task at hand. In this report we evaluate our proposed design criteria by utilizing within the context of novel research a formal reasoning system that is designed according to these criteria. In particular, we consider how the design and capabilities of the formal reasoning system that we employ influence, aid, or hinder our ability to accomplish a formal reasoning task – the assembly of a machine-verifiable proof pertaining to the NetSketch formalism. NetSketch is a tool for the specification of constrained-flow applications and the certification of desirable safety properties imposed thereon. NetSketch is conceived to assist system integrators in two types of activities: modeling and design. It provides capabilities for compositional analysis based on a strongly-typed domain-specific language (DSL) for describing and reasoning about constrained-flow networks and invariants that need to be enforced thereupon. In a companion paper [13] we overview NetSketch, highlight its salient features, and illustrate how it could be used in actual applications. In this paper, we define using a machine-readable syntax major parts of the formal system underlying the operation of NetSketch, along with its semantics and a corresponding notion of validity. We then provide a proof of soundness for the formalism that can be partially verified using a lightweight formal reasoning system that simulates natural contexts. A traditional presentation of these definitions and arguments can be found in the full report on the NetSketch formalism [12].

Deciding Isomorphisms of Simple Types in Polynomial Time

The isomorphisms holding in all models of the simply typed lambda calculus with surjective and terminal objects are well studied - these models are exactly the Cartesian closed categories. Isomorphism of two simple types in such a model is decidable by reduction to a normal form and comparison under a finite number of permutations (Bruce, Di Cosmo, and Longo 1992). Unfortunately, these normal forms may be exponentially larger than the original types so this construction decides isomorphism in exponential time. We show how using space-sharing/hash-consing techniques and memoization can be used to decide isomorphism in practical polynomial time (low degree, small hidden constant). Other researchers have investigated simple type isomorphism in relation to, among other potential applications, type-based retrieval of software modules from libraries and automatic generation of bridge code for multi-language systems. Our result makes such potential applications practically feasible.

Music Maker – A Camera-based Music Making Tool for Physical Rehabilitation

The therapeutic effects of playing music are being recognized increasingly in the field of rehabilitation medicine. People with physical disabilities, however, often do not have the motor dexterity needed to play an instrument. We developed a camera-based human-computer interface called "Music Maker" to provide such people with a means to make music by performing therapeutic exercises. Music Maker uses computer vision techniques to convert the movements of a patient's body part, for example, a finger, hand, or foot, into musical and visual feedback using the open software platform EyesWeb. It can be adjusted to a patient's particular therapeutic needs and provides quantitative tools for monitoring the recovery process and assessing therapeutic outcomes. We tested the potential of Music Maker as a rehabilitation tool with six subjects who responded to or created music in various movement exercises. In these proof-of-concept experiments, Music Maker has performed reliably and shown its promise as a therapeutic device.

The endless search for SA: spiritual ideology in Hindustāni music

This dissertation centres on philosophical attitudes presented by North Indian classical musicians in relation to the concept and experience of rāga improvisation. In Hindustāni music, there is a dynamic tension ideology and pragmatism, devotion and entertainment, fixity and improvisational freedom, and cognition and visceral experience. On one hand, rāga is an embodied methodological template for the creation of music. On the other hand, rāga improvisation is conceptualised as a path to metaphysical experience and as an evocation of an ineffable divine presence. A masterful rendition of rāga is both a re-enactment of a systematic prescribed formula and a spontaneous flow of consciousness. This study presents these apparent dichotomies to highlight ideological concerns, while simultaneously contextualising philosophical idealism in relation to pragmatic realities. A central paradigm is the manner in which pragmatic concerns are elevated in status and given spiritual significance. The dissertation begins with a view into historical and religious context. The discussion continues with a speculative investigation positing co-relations between Hindustāni music and central tenets of Indian philosophy, considering how rāga improvisation may manifest as a philosophy of sound. The study then explores the concept of rāga, a modal and conceptual construct that forms the heart of Indian classical music. The final three sections ground the subject of spiritual ideology within the life experience of Hindustāni musicians: ‘Transmission’ looks at the learning and enculturation process, which encapsulates values intrinsic to the ethos of Hindustāni music culture. ‘Practice’ explores the discipline, science and experience of musical practice, revealing core ideological concerns connecting spirituality to musical experience; and ‘Performance’ examines the live presentation of rāga improvisation, and the relationship between music as ‘entertainment’ and music as ‘devotion’. Both ethnographic and musicological, this research is the culmination of various fieldtrips to India, extensive interviews with Hindustāni musicians, fifteen year’s sitār training, and the study of relevant musicological and philosophical texts.

STUDIES AND PERFORMANCES OF TRANSCRIPTIONS FOR CELLO FROM THE VIOLIN REPERTOIRE

The potential of the violoncello as a solo instrument was recognized and supported by cellists such as Luigi Boccherini (1743-1805), Luis Duport (1749-1819), Auguste Franchomme (1808-1884), and Alfredo Piatti (1822-1901). These pioneers composed technically demanding etudes, exercises, and caprices for the cello that were comparable to those already present in the violin literature. Even so, in the late nineteenth century and early twentieth century, considerably fewer substantial works were brought forth for the cello as compared with the violin. Consequently, many cellists such as Luigi Silva (1903-1961), Gregor Piatigorsky (1903-1976), Pierre Fournier (1906-1986), and Janos Starker (b. 1924) selected notable pieces from the violin repertoire and transcribed these for the cello. Some composers themselves actually adapted for the cello their own works originally written for the violin. Johannes Brahms with his Violin Sonata Op. 78, Igor Stravinsky with his Suite Italienne, and Béla Bartók with his First Rhapsody all belong to this category. Adaptations such as these further raised awareness among composers and performers of the possibilities of the cello as an independent and expressive instrument. Thus, many composers from the early 1900s to the present were encouraged to write increasing numbers of more soloistic and demanding works for cello. Herein, I explore the repertoire of cello transcriptions in order to analyze the differences between the original and transcribed versions and the challenges found therein. The performer may attempt to recreate the effect originally intended for the violin or, more daringly, may strive to search for alternate presentations of the music more suitable and expressive of the cello's own character. The project includes two recitals of the following transcribed works presented at the University of Maryland College Park, School of Music: Sonata in A by César Franck, transcribed by Jules Delsart, Variations on a Theme from Rossini by Nicolo Paganini, transcribed by Fournier, Suite Italienne by Igor Stravinsky, transcribed with the help of Piatigorsky, Sonatina Op. 137, No. 1 by Franz Schubert, transcribed by Starker, First Rhapsody by Béla Bartók and Sonata, Op. 108 by Johannes Brahms, transcribed by Hsiao-mei Sun.

Sonata Development at the Turn of the Century: From Liszt to Stravinsky

The sonata began to lose its position of predominance among compositions in the middle of the 19th century. Having been the platform for harmonic and thematic development of music since the late baroque period the sonata entered a process of reevaluation and experimentation with form. As a result fewer sonatas were being composed with some composers dropping the genre completely. This dissertation looks at the different approaches taken by the German, French and Russian schools of composition and compares the solo and chamber music applications of the sonata form. In the German tradition Franz Liszt's Sonata in b minor sets the standard for the revolutionary approach to form while the Berg Sonata is a very conservative application of form to an innovative use of extended chromaticism. Both composers chose to write one movement through composed pieces with Liszt working with a very expansive use of form and Berg being extremely compact and efficient. Among the Russian composers, Prokofieff's third sonata is also a one movement sonata, but he falls between Liszt and Berg in terms of the length of the piece and the use of innovative musical language. Scriabin uses a two movement approach, but keeps the element of a through composed piece with the same important material spanning both movements. Stravinsky is the most conservative of these with a three movement sonata that uses a mix of chromaticism and baroque and classical style influences. The French almost stopped composing true sonatas except for chamber music where Franck and Fauré write late romantic sonatas, while Debussy is very innovative within a three movement sonata. Estampes, by Debussy, are taken in almost as an afterthought to illustrate the direction Debussy takes in his piano solo music. While Estampes is by definition a set of character pieces they function like a sonata with three movements.

Major and minor music compared to excited and subdued speech.

The affective impact of music arises from a variety of factors, including intensity, tempo, rhythm, and tonal relationships. The emotional coloring evoked by intensity, tempo, and rhythm appears to arise from association with the characteristics of human behavior in the corresponding condition; however, how and why particular tonal relationships in music convey distinct emotional effects are not clear. The hypothesis examined here is that major and minor tone collections elicit different affective reactions because their spectra are similar to the spectra of voiced speech uttered in different emotional states. To evaluate this possibility the spectra of the intervals that distinguish major and minor music were compared to the spectra of voiced segments in excited and subdued speech using fundamental frequency and frequency ratios as measures. Consistent with the hypothesis, the spectra of major intervals are more similar to spectra found in excited speech, whereas the spectra of particular minor intervals are more similar to the spectra of subdued speech. These results suggest that the characteristic affective impact of major and minor tone collections arises from associations routinely made between particular musical intervals and voiced speech.

The Aesthetics of Motion in Musics for the Mevlana Celal ed-Din Rumi

This dissertation investigates the concept of motion as a fundamental aesthetic element in the devotional music, dance, and rituals performed in honor of the celebrated thirteenth-century Persian mystic poet and saint, the Mevlana Celal ed-Din Muhammad Rumi. The main focus of the study is threefold. First, it investigates the prevalence of the notion of movement in Islamic music and culture, specifically within the Sufi communities of Turkey, in order to arrive at a broader understanding of the relationship between music, aesthetics, and worldview. Secondly, it explores how musical performance functions as a form of devotion or religious worship by focusing on the musical repertories performed in honor of a single holy figure, the Mevlana Rumi. Finally, it provides an ethnographic account of contemporary developments in Sufi musical culture in Turkey and across the world by describing the recent activities of the Mevlana's devotees, which includes members of the Mevlevi Order of Islamic mystics as well as adherents of other Sufi brotherhoods and followers of so-called New Religions or New Age. The primary research for this study involved two short one-month field trips to Turkey and India in 2002 and 2003, respectively, and a longer one year expedition to Turkey in 2004 and 2005, which also included shorter stays in Cyprus, Syria, and Egypt. Additionally, the dissertation draws directly from critical theories advanced in the fields of ethnomusicology, cultural anthropology, and ethnochoreology and focuses on the kinesthetic parameters of music, dance, trance, and ritual as well as on broader forms of socio-cultural movement including pilgrimage, cultural tourism, and globalization. These forms of movement are analyzed in four broad categories of music used in worship, including classical Mevlevi music, music of the zikr ceremony, popular musics, and non-Turkish musics.

The Evolution of the Russian Romance Through the Nineteenth and Twentieth centuries

This performance dissertation traced the evolution of the Russian romance from 1800 to the present. The Russian romance is a relatively unknown and greatly neglected genre of classical art songs. It is commonly believed that the Russian romance began with Dargomizhsky and Glinka proceeding directly to Tchaikovsky and Rachmaninoff. Forgotten are the composers before Dargornizhsky and Glinka, the bridge composers, and the post-Tchaikovsky and post-Rachmaninoff composers. This may be, in part, because of the difficulties in obtaining Russian vocal scores. While most of the musical world is acquainted with the magnificent Russian instrumental music, the "true soul" of the Russian people lies in its romances. I presented examples of the two different schools of composition, reflecting their philosophical differences in thinking that came about in the 1860s: (1) Russian National school, (2) Western European school. Each school's influence on generations of Russian composers and their pupils have been represented in the recital programs. Also represented was the effect of the October Revolution on music and the voice of the Russian people, Anna Akhmatova. The amount of music that could be included in this dissertation greatly exceeds the amount of available performance time and represents a selected portion of the repertoire. The first recital included repertoire from the beginning of the romance in the early nineteenth century to the beginning of the twentieth century and the second recital focused on the music of the twentieth century, pre and post, the October Revolution. Finally, given the status of Anna Akhmatova and her contributions, the third recital was devoted entirely to her poetry. The "Russian soul" is one of deep, heartfelt emotions and sorrow. Happiness and joy are also present, but always with a touch of melancholy. The audience did not simply go through a musical journey, but took a journey through the "Russian soul". With the strong response of the audience to these recitals, my belief that this repertoire deserves a prominent place in recital programming was confirmed.

DEGENERATE MUSIC?! MUSICAL CENSORSHIP IN THE THIRD REICH

In 1938, in Düsseldorf, the Nazis put on an exhibit entitled "Entartete Musik” (degenerate music), which included composers on the basis of their “racial origins” (i.e. Jews), or because of the “modernist style” of their music. Performance, publication, broadcast, or sale of music by composers deemed “degenerate” was forbidden by law throughout the Third Reich. Among these composers were some of the most prominent composers of the first half of the twentieth-century. They included Stravinsky, Schoenberg, Webern, Berg, Mahler, Ernst Krenek, George Gershwin, Kurt Weill, Erwin Schulhoff, and others. The music of nineteenth-century composers of Jewish origin, such as Mendelssohn and Meyerbeer, was also officially proscribed. In each of the three recitals for this project, significant works were performed by composers who were included in this exhibition, namely, Mendelssohn, Webern, Berg, Weill, and Hans Gal. In addition, as an example of self-censorship, a work of Karl Amadeus Hartmann was included. Hartmann chose “internal exile” by refusing to allow performance of his works in Germany during the Nazi regime. One notable exception to the above categories was a work by Beethoven that was presented as a bellwether of the relationship between music and politics. The range of styles and genres in these three recitals indicates the degree to which Nazi musical censorship cut a wide swath across Europe’s musical life with devastating consequences for its music and culture.

EARLY TWENTIETH CENTURY VIOLA MUSIC FROM ENGLAND AND GERMANY: FROM POST-ROMANTICISM TO MODERNISM

In the early twentieth century, the viola began to gain status as a solo instrument with the appearance in England of the virtuosic violist Lionel Tertis. Because of a lack of music for viola at that time, such English composers as York Bowen, Arnold Bax, Ralph Vaughan Williams, Arthur Bliss and William Walton began to write viola music for Tertis. Meanwhile, in Germany, the well-known composer and virtuosic violinist and violist Paul Hindemith wrote and premiered several viola sonatas and concertos. Viola music became even more developed later with William Primrose, the legendary Scottish violist, and all the works written in the early twentieth century have remained significant in the viola literature. Although this new viola music appeared in both countries during same period, it developed along different lines in each country. Because they were under the influence of earlier periods and traditions, the English composers who associated with Tertis wrote their music in a Romantic style, with expanded harmony, various colors of sound and timbre, and lyrical melodies. Hindemith, as a composer himself, employed a more Modernist style, using atonality and angular melodies, which represented German trends at that time. I have given three recitals, of which the first two were divided between selected English music and German music. Although I originally intended to focus solely on music by Hindemith and music written for Terts, I decided that in order to give a more complete view of the national trends of those two countries, I included Rebecca Clarke's Sonata, Lachrymae by Benjamin Britten (dedicated to William Primrose), and Max Reger's Suite for Viola. Rebecca Clarke was herself a fine violist, and her sonata's Romantic style is also representative of the English trends of viola music. Lachrymae was written with a different concept and shows more modernity than had ever before occurred in England, though it still differs from the modernity of other countries. Max Reger's Suite is in a truly Romantic style, yet it is old fashioned in ways that differ not only from Wagner or Strauss, but also from English music of the period. In my last recital I wished to pay homage to Tertis, with a program consisting entirely of music written for him. For the finale, Arthur Bliss's Viola Sonata was especially chosen because it provides interesting similarities and contrasts with earlier English music in the Romantic style.

LIONEL TERTIS AND THE FLOWERING OF EARLY TWENTIETH CENTURY ENGLISH VIOLA REPERTOIRE

This performance project focused on English viola literature written in the first half of the twentieth century. During this time, numerous English composers were influenced by Lionel Tertis' unprecedented approach to the viola as a virtuosic and solo instrument. In addition to being an inspiration to composers of whom he was not in direct contact, Tertis' innovative vision for the viola led to numerous collaborations with prominent English composers of his generation. Ralph Vaughan Williams, Arnold Bax, York Bowen, Frank Bridge, Benjamin Britten, and Rebecca Clarke -his own protégé - composed some of the most important works for viola thus directly shaping the impression of the instrument as we know it today. Tertis' artistry as a performing violist was unmatched at the beginning of the twentieth century. He had a unique approach to the instrument which focused on concept of sound, tone color, concentrated listening, continuous vibrato, discreet portamento, and expressive interpretation. His convincing musical and technical ideas led him to write a treatise about how to achieve a beautiful tone. His passion for teaching and concern for the viola's posterity greatly enhanced the development of the viola. Tertis transcribed, edited, and premiered many works during his career. The music that Lionel Tertis influenced can be seen as a microcosm for a musical resurgence in England during the first half of the twentieth-century. The catalyst for this was artistic influences in the form of nationalism, folk music, romanticism, modernism, and impressionism, among others. Before this, England was widely referred to as ''the land without music" but in a very real sense, .Lionel Tertis was one of the pioneers who, through his artistry of the viola, led the way to the renaissance of music in England in the twentieth century.

RECORDING PROJECT: THE COMPLETE (PUBLISHED) PIANO WORKS OF ROBERT HELPS

This recording represents the complete solo piano works of Robert Helps (1928-2001). As of this writing (March, 2008), approx.120 minutes of Helps' solo piano music has been published, all of which is included on the Digital Media (CD). This project includes the following works: Trois Hommages, Quartet, Nocturne, Valse Mirage, In Retrospect, Three Etudes, Portrait, Three Etudes for the Left Hand, Starscape, Recollections, Shall We Dance and Image. (His few remaining pieces are officially "pending publication" and are therefore not included in this project.) Robert Helps, American pianist and composer, enjoyed a successful career on both fronts, teaching at such institutions as San Francisco Conservatory, Stanford University, the University of California, Berkeley, the New England Conservatory, the Manhattan School of Music and Princeton University. Helps, never the recipient of a university or conservatory degree, received private instruction from pianist Abby Whiteside and composer Roger Sessions. His recording of the Sessions' Sonatas is considered to be their benchmark performance. As a composer, he received commission and awards from the American Academy of Arts and Letters, the Ford Foundation, the Guggenheim Foundation and the National Endowment for the Arts. Helps' compositions were anachronistic in style: his compositional style ranges from Post-Impressionism, Neo­ Romanticsim and early 20th century Atonalism, although he never engaged in serial practices. Since his death in 2001, the Robert Helps Trust has been established at the University of South Florida. Funds are being used to support the continued publishing of his scores. The Robert Helps International Composition Competition and Festival was established in 2005.

SELECTED REPERTOIRE OF THE GILLET COMPETITION FROM 1996 TO 2006

There are many bassoon competitions around the world- and one of the most famous is the Gillet competition, sponsored by the International Double Reed Society. In 1981, it was established as an annual event, the "Femand Gillet Bassoon Competition"- a title expanded in 2000 to the "Femand Gillet-Hugo Fox Bassoon Competition." My goal was to explore the history of the competition, the availability of the repertoire selected for each competition, and the difficulties performing each piece. Through this journey, I was able to discover the variety of material chosen and how it was used, the quality, value, and the importance of the repertoire in each competition. For example, Ferdinand David's Concertino op.12, the style of the piece provides romantic, operatic type lyricism, a flashy presto section and finale, makes it as a standard romantic piece in the bassoon repertoire; Otmar Nussio's Variations on an Air by Pergolesi, contains a slow theme and few diverse variations, which provides a contemporary style music with the traditional music form and descriptive quality. The result of learning this repertoire proves that different styles of music in the competition demonstrate the artistry of the bassoon repertoire and music history in relationship of the development of the instrument. My first dissertation recital featured: Concerto for Bassoon, K. 191 by Wolfgang Amadeus Mozart; Concertino by Marcel Bitsch; Metamorphoses by Leslie Bassett; and Sonatine by Alexandre Tansman. My second recital featured: Concerto in E minor, RV 484 by Antonio Vivaldi; On the Summer Map of Stars by Gordon Kerry; Concertino Opus12 by Ferdinand David; Elegie by Jacques Hetu; and Interferences by Roger Boutry. My third recital featured: Cello Suite No.2 in D minor, BWV1008 by Johann Sebastian Bach; Combinaciones: Sonatina para Fagot y Piano by Salvador Ranieri; Andante e Rondo Ungarese Opus 35 by Carl Maria von Weber; and Variations on an Air by Pergolesi for Bassoon and Piano by Otmar Nussio.

VARIATION FORMS: A SURVEY THROUGH FOUR CENTURIES OF VIOLIN REPERTOIRE

Variation, or the re-working of existing musical material, has consistently attracted the attention of composers and performers throughout the history of Western music. In three recorded recitals at the University of Maryland School of Music, this dissertation project explores a diverse range of expressive possibilities for violin in seven types of variation form in Austro-German works for violin from the 17th through the 20th centuries. The first program, consisting of Baroque Period works, performed on period instrument, includes the divisions on “John come kiss me now” from The Division Violin by Thomas Baltzar (1631 – 1663), constant bass variations in Sonate Unarum Fidium by Johann Heinrich von Schmelzer (1623 – 1680), arbitrary variation in Sonata for Violin and Continuo in E Major, Op. 1, No. 12 “Roger” by George Friedrich Händel (1685 – 1759), and French Double style, melodic-outline variation in Partita for Unaccompanied Violin in B Minor by Johan Sebastian Bach (1685 – 1750). Theme and Variations, a popular Classical Period format, is represented by the Sonata for Piano and Violin in G Major K. 379 by Wolfgang Amadeus Mozart (1756 – 1791) and Sonata for Violin and Piano in A Major, Op. 47 No. 9 the “Kreutzer” by Ludwig van Beethoven (1770 – 1827). Fantasy for Piano and Violin in C Major D. 934 by Franz Schubert (1797 – 1828) represents the 19th century fantasia variation. In these pieces, the piano and violin parts are densely interwoven, having equal importance. Many 20th century composers incorporated diverse types of variations in their works and are represented in the third recital program comprising: serial variation in the Phantasy for Violin and Piano Op.47 of Arnold Schoenberg (1874 – 1951); a strict form of melodic-outline variation in Sonate für Violine allein, Op. 31, No. 2 of Paul Hindemith (1895 – 1963); ostinato variation in Johan Halvorsen’s (1864 – 1935) Passacaglia for Violin and Viola, after G. F. Handel’s Passacaglia from the Harpsichord Suite No. 7 in G Minor. Pianist Audrey Andrist, harpsichordist Sooyoung Jung, and violist Dong-Wook Kim assisted in these performances.