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Properties expressed as the provability of a first-order sentence can be disproved by just finding a model of the negation of the sentence. This fact, however, is meaningful in restricted cases only, depending on the shape of the sentence…

Programming Languages · Computer Science 2017-09-18 Salvador Lucas

We propose an algorithm that test membership for regular expressions and show that the algorithm is correct. This algorithm is written in the style of a sequent proof system. The advantage of this algorithm over traditional ones is that the…

Formal Languages and Automata Theory · Computer Science 2010-02-11 Keehang Kwon , Hong Pyo Ha , Jiseung Kim

Composites, or linear combinations of variables, play an important role in multivariate behavioral research. They appear in the form of indices, inventories, formative constructs, parcels, and emergent variables. Although structural…

Methodology · Statistics 2025-09-03 Jörg Henseler , Xi Yu , Tamara Schamberger , Gregory R. Hancock , Florian Schuberth

We consider a logic used to describe sets of configurations of distributed systems, whose network topologies can be changed at runtime, by reconfiguration programs. The logic uses inductive definitions to describe networks with an unbounded…

Logic in Computer Science · Computer Science 2022-04-27 Marius Bozga , Lucas Bueri , Radu Iosif

We study program refactoring while considering the language or even the programming paradigm as a parameter. We use typed functional programs, namely Haskell programs, as the specification medium for a corresponding refactoring framework.…

Programming Languages · Computer Science 2007-05-23 Ralf Laemmel

We introduce a formalism to couple integrity constraints over general-purpose knowledge bases with actions that can be executed to restore consistency. This formalism generalizes active integrity constraints over databases. In the more…

Databases · Computer Science 2017-08-09 Luís Cruz-Filipe , Graça Gaspar , Isabel Nunes , Peter Schneider-Kamp

In this thesis a comprehensive verification framework is proposed to contend with some important issues in composability verification and a verification process is suggested to verify composability of different kinds of systems models, such…

Software Engineering · Computer Science 2023-01-10 Imran Mahmood

We show how polynomial path orders can be employed efficiently in conjunction with weak innermost dependency pairs to automatically certify polynomial runtime complexity of term rewrite systems and the polytime computability of the…

Logic in Computer Science · Computer Science 2011-06-09 Martin Avanzini , Georg Moser

The behavior and architecture of large scale discrete state systems found in computer software and hardware can be specified and analyzed using a particular class of primitive recursive functions. This paper begins with an illustration of…

Formal Languages and Automata Theory · Computer Science 2025-11-04 Victor Yodaiken

We define a new decidable logic for expressing and checking invariants of programs that manipulate dynamically-allocated objects via pointers and destructive pointer updates. The main feature of this logic is the ability to limit the…

Logic in Computer Science · Computer Science 2007-06-13 Greta Yorsh , Alexander Rabinovich , Mooly Sagiv , Antoine Meyer , Ahmed Bouajjani

Matching Logic is a framework for specifying programming language semantics and reasoning about programs. Its formulas are called patterns and are built with variables, symbols, connectives and quantifiers. A pattern is a combination of…

Logic in Computer Science · Computer Science 2018-11-16 Andrei Arusoaie , Dorel Lucanu

Reactive synthesis transforms a specification of a reactive system, given in a temporal logic, into an implementation. The main advantage of synthesis is that it is automatic. The main disadvantage is that the implementation is usually very…

Logic in Computer Science · Computer Science 2021-01-01 Tom Baumeister , Bernd Finkbeiner , Hazem Torfah

Regular tree grammars and regular path expressions constitute core constructs widely used in programming languages and type systems. Nevertheless, there has been little research so far on frameworks for reasoning about path expressions…

Databases · Computer Science 2010-08-31 Everardo Barcenas , Pierre Geneves , Nabil Layaida , Alan Schmitt

The spread of autonomous systems into safety-critical areas has increased the demand for their formal verification, not only due to stronger certification requirements but also to public uncertainty over these new technologies. However, the…

Artificial Intelligence · Computer Science 2018-04-19 Maryam Kamali , Sven Linker , Michael Fisher

Refinement transforms an abstract system model into a concrete, executable program, such that properties established for the abstract model carry over to the concrete implementation. Refinement has been used successfully in the development…

Logic in Computer Science · Computer Science 2021-10-27 Aurel Bílý , Christoph Matheja , Peter Müller

Automata-based modeling languages, like Component Interaction Automata, offer an attractive means to capture and analyze the behavioral aspects of interacting components. At the center of these modeling languages we find finite state…

Software Engineering · Computer Science 2010-10-15 Markus Lumpe , Rajesh Vasa

Model-driven design of software for safety-critical applications often relies on mathematically grounded techniques such as the B method. Such techniques consist in the successive applications of refinements to derive a concrete…

Software Engineering · Computer Science 2009-07-14 David Deharbe , Bruno E. G. Gomes , Anamaria M. Moreira

Multi-step pathways, constituted of a sequence of reconfigurations, are central to a wide variety of natural and man-made systems. Such pathways autonomously execute in self-guided processes such as protein folding and self-assembly, but…

Soft Condensed Matter · Physics 2018-10-18 Corentin Coulais , Alberico Sabbadini , Fré Vink , Martin van Hecke

Checking infinite-state systems is frequently done by encoding infinite sets of states as regular languages. Computing such a regular representation of, say, the set of reachable states of a system requires acceleration techniques that can…

Logic in Computer Science · Computer Science 2009-09-29 Axel Legay , Pierre Wolper

In this paper, we show a new approach to transformations of an imperative program with function calls and global variables into a logically constrained term rewriting system. The resulting system represents transitions of the whole…

Logic in Computer Science · Computer Science 2019-02-25 Yoshiaki Kanazawa , Naoki Nishida