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This paper studies trace-based equivalences for systems combining nondeterministic and probabilistic choices. We show how trace semantics for such processes can be recovered by instantiating a coalgebraic construction known as the…

Logic in Computer Science · Computer Science 2023-06-22 Filippo Bonchi , Ana Sokolova , Valeria Vignudelli

Kernel traces are sequences of low-level events comprising a name and multiple arguments, including a timestamp, a process id, and a return value, depending on the event. Their analysis helps uncover intrusions, identify bugs, and find…

Machine Learning · Computer Science 2021-03-15 Quentin Fournier , Daniel Aloise , Seyed Vahid Azhari , François Tetreault

Traversals are commonly seen in tree data structures, and performance-enhancing transformations between tree traversals are critical for many applications. Existing approaches to reasoning about tree traversals and their transformations are…

Programming Languages · Computer Science 2019-10-28 Yanjun Wang , Jinwei Liu , Dalin Zhang , Xiaokang Qiu

Execution of concurrent programs implies frequent switching between different thread contexts. This property perplexes analyzing and reasoning about concurrent programs. Trace simplification is a technique that aims at alleviating this…

Software Engineering · Computer Science 2014-05-20 Mohamed A. El-Zawawy , Mohammad N. Alanazi

In many modern applications, including analysis of gene expression and text documents, the data are noisy, high-dimensional, and unordered--with no particular meaning to the given order of the variables. Yet, successful learning is often…

Methodology · Statistics 2008-07-25 Ann B. Lee , Boaz Nadler , Larry Wasserman

Dual structures on causal sets called timelets are introduced, being discrete analogs of global time coordinates. Algebraic and geometrical features of the set of timelets on a causal set are studied. A characterization of timelets in terms…

General Relativity and Quantum Cosmology · Physics 2018-01-26 Roman Zapatrin

We present a lattice of distributed program specifications, whose ordering represents implementability/refinement. Specifications are modelled by families of subsets of relative execution traces, which encode the local orderings of state…

Logic in Computer Science · Computer Science 2023-04-25 Nasos Evangelou-Oost , Callum Bannister , Ian J. Hayes

Can the cross product be generalized? Why are the trace and determinant so important in matrix theory? What do all the coefficients of the characteristic polynomial represent? This paper describes a technique for `doodling' equations from…

History and Overview · Mathematics 2007-12-14 Elisha Peterson

We explore denotational interpreters: denotational semantics that produce coinductive traces of a corresponding small-step operational semantics. By parameterising our denotational interpreter over the semantic domain and then varying it,…

Programming Languages · Computer Science 2024-07-15 Sebastian Graf , Simon Peyton Jones , Sven Keidel

Compiler correctness is, in its simplest form, defined as the inclusion of the set of traces of the compiled program into the set of traces of the original program, which is equivalent to the preservation of all trace properties. Here…

Context: Traceability is a key quality attribute of artifacts that are used in knowledge-intensive tasks and supports software engineers in producing higher-quality software. Despite its clear benefits, traceability is often neglected in…

Software Engineering · Computer Science 2026-04-10 Waleed Abdeen , Michael Unterkalmsteiner , Peter Löwenadler , Parisa Yousefi , Krzysztof Wnuk

Concept-based interpretability methods offer a lens into the internals of foundation models by decomposing their embeddings into high-level concepts. These concept representations are most useful when they are compositional, meaning that…

Computation and Language · Computer Science 2024-06-27 Adam Stein , Aaditya Naik , Yinjun Wu , Mayur Naik , Eric Wong

Background: Establishing traceability from requirements documents to downstream artifacts early can be beneficial as it allows engineers to reason about requirements quality (e.g. completeness, consistency, redundancy). However, creating…

Software Engineering · Computer Science 2023-11-22 Michael Unterkalmsteiner

Two of the most studied extensions of trace and testing equivalences to nondeterministic and probabilistic processes induce distinctions that have been questioned and lack properties that are desirable. Probabilistic trace-distribution…

Logic in Computer Science · Computer Science 2015-07-01 Marco Bernardo , Rocco De Nicola , Michele Loreti

A foundational theory of compositional categorical rewriting theory is presented, based on a collection of fibration-like properties that collectively induce and intrinsically structure the large collection of lemmata used in the proofs of…

Logic in Computer Science · Computer Science 2023-07-17 Nicolas Behr , Russ Harmer , Jean Krivine

Machine learning practitioners often have access to a spectrum of data: labeled data for the target task (which is often limited), unlabeled data, and auxiliary data, the many available labeled datasets for other tasks. We describe TAGLETS,…

Machine Learning · Computer Science 2022-05-09 Wasu Piriyakulkij , Cristina Menghini , Ross Briden , Nihal V. Nayak , Jeffrey Zhu , Elaheh Raisi , Stephen H. Bach

The execution of concurrent programs generally involves some degree of nondeterminism, mostly due to the relative speeds of the concurrent processes. As a consequence, reproducibility is often challenging. This problem has been…

Programming Languages · Computer Science 2021-08-27 Juan José González-Abril , Germán Vidal

The topic of this paper is the distributed and incremental generation of long executions of concurrent systems, uniformly or more generally with weights associated to elementary actions. Synchronizing sequences of letters on alphabets…

Formal Languages and Automata Theory · Computer Science 2017-04-27 Samy Abbes

Requirements traceability in safety-critical software development remains largely dependent on external documentation maintained separately from the systems it describes. This separation introduces structural fragility: traces degrade…

Software Engineering · Computer Science 2026-03-17 Thorsten Schlathölter

Dominant sequence models like the Transformer represent structure implicitly through dense attention weights, incurring quadratic complexity. We propose RewriteNets, a novel neural architecture built on an alternative paradigm: explicit,…

Machine Learning · Computer Science 2026-01-14 Harshil Vejendla