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We study a sound verification method for parametric component-based systems. The method uses a resource logic, a new formal specification language for distributed systems consisting of a finite yet unbounded number of components. The logic…

Formal Languages and Automata Theory · Computer Science 2021-12-16 Marius Bozga , Radu Iosif , Joseph Sifakis

A discriminative structured analysis dictionary is proposed for the classification task. A structure of the union of subspaces (UoS) is integrated into the conventional analysis dictionary learning to enhance the capability of…

Computer Vision and Pattern Recognition · Computer Science 2019-09-17 Wen Tang , Ashkan Panahi , Hamid Krim , Liyi Dai

We consider formal verification of recursive programs with resource consumption. We introduce prefix replacement systems with non-negative integer counters which can be incremented and reset to zero as a formal model for such programs. In…

Logic in Computer Science · Computer Science 2015-07-01 Martin Lang , Christof Löding

Context-dependent fusion grammars were recently introduced as devices for the generation of hypergraph languages. In this paper, we show that this new type of hypergraph grammars, where the application of fusion rules is restricted by…

Formal Languages and Automata Theory · Computer Science 2019-12-23 Aaron Lye

Recursive coalgebras provide an elegant categorical tool for modelling recursive algorithms and analysing their termination and correctness. By considering coalgebras over categories of suitably indexed families, the correctness of the…

Programming Languages · Computer Science 2026-04-20 Cass Alexandru , Henning Urbat , Thorsten Wißmann

In this paper, we associate the idea of derivation languages with flat splicing systems and compare the families of derivation languages (Szilard and control languages) of these systems with the family of languages in Chomsky hierarchy. We…

Formal Languages and Automata Theory · Computer Science 2019-05-22 Prithwineel Paul , Kumar Sankar Ray

The field of implicit complexity has recently produced several bounded-complexity programming languages. This kind of language allows to implement exactly the functions belonging to a certain complexity class. We here present a…

Logic in Computer Science · Computer Science 2012-06-22 Aloïs Brunel , Antoine Madet

A reliable technique for deductive program verification should be proven sound with respect to the semantics of the programming language. For each different language, the construction of a separate soundness proof is often a laborious…

Programming Languages · Computer Science 2021-08-05 Ximeng Li , Qianying Zhang , Guohui Wang , Zhiping Shi , Yong Guan

Transition System Specifications provide programming and specification languages with a semantics. They provide the meaning of a closed term as a process graph: a state in a labelled transition system. At the same time they provide the…

Logic in Computer Science · Computer Science 2019-08-26 Rob van Glabbeek

In this paper, we present a linear and reversible programming language with inductives types and recursion. The semantics of the languages is based on pattern-matching; we show how ensuring syntactical exhaustivity and non-overlapping of…

Logic in Computer Science · Computer Science 2025-07-23 Kostia Chardonnet , Alexis Saurin , Benoît Valiron

String diagrams provide an intuitive language for expressing networks of interacting processes graphically. A discrete representation of string diagrams, called string graphs, allows for mechanised equational reasoning by double-pushout…

Logic in Computer Science · Computer Science 2015-10-14 Aleks Kissinger , Vladimir Zamdzhiev

Passive documents and active programs now widely comingle. Document languages include Turing-complete programming elements, and programming languages include sophisticated document notations. However, there are no formal foundations that…

Programming Languages · Computer Science 2023-11-15 Will Crichton , Shriram Krishnamurthi

A classical result by Floyd ("On the non-existence of a phrase structure grammar for ALGOL 60", 1962) states that the complete syntax of any sensible programming language cannot be described by the ordinary kind of formal grammars…

Formal Languages and Automata Theory · Computer Science 2020-12-08 Alexander Okhotin

User defined recursive types are a fundamental feature of modern functional programming languages like Haskell, Clean, and the ML family of languages. Properties of programs defined by recursion on the structure of recursive types are…

Programming Languages · Computer Science 2013-12-11 James Caldwell

A simple dynamically-typed, (purely) object-oriented language is defined. A structural operational semantics as well as a Hoare-style program logic for reasoning about programs in the language in multiple notions of correctness are given.…

Programming Languages · Computer Science 2016-01-12 Björn Engelmann , Ernst-Rüdiger Olderog

Much research has studied foundations for correct and reliable communication-centric systems. A salient approach to correctness uses session types to enforce structured communications; a recent approach to reliability uses reversible…

Logic in Computer Science · Computer Science 2016-06-21 Claudio A. Mezzina , Jorge A. Pérez

We develop a theory of rewriting for structured cospans in order to extend compositional methods for modeling open networks. First, we introduce a category whose objects are structured cospans, and establish conditions under which it is…

Category Theory · Mathematics 2026-04-06 Daniel Cicala

We introduce IsalProgram (Instruction Set and Language for Programming), a novel assembly-like programming language with three distinctive theoretical properties: (1) it is a regular language in the sense of formal language theory, meaning…

Programming Languages · Computer Science 2026-05-19 Ezequiel López-Rubio

Type systems which account for resource sensitive computations can generally be split into two styles: First, substructural logics such as Linear Logic which seek to restrict weakening and contraction and reintroduce them in a controlled…

Logic in Computer Science · Computer Science 2026-05-19 Peter Hanukaev , Harley Eades

Intuitionistic grammar logics fuse constructive and multi-modal reasoning while permitting the use of converse modalities, serving as a generalization of standard intuitionistic modal logics. In this paper, we provide definitions of these…

Logic in Computer Science · Computer Science 2025-12-04 Tim S. Lyon
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