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Cirquent calculus is a novel proof theory permitting component-sharing between logical expressions. Using it, the predecessor article "Elementary-base cirquent calculus I: Parallel and choice connectives" built the sound and complete…

Logic in Computer Science · Computer Science 2019-02-20 Giorgi Japaridze

Coherence with respect to Kelly-Mac Lane graphs is proved for categories that correspond to the multiplicative fragment without constant propositions of classical linear first-order predicate logic without or with mix. To obtain this…

Logic · Mathematics 2014-06-18 K. Dosen , Z. Petric

We study alternating parity good-for-games (GFG) automata, i.e., alternating parity automata where both conjunctive and disjunctive choices can be resolved in an online manner, without knowledge of the suffix of the input word still to be…

Formal Languages and Automata Theory · Computer Science 2020-10-01 Udi Boker , Denis Kuperberg , Karoliina Lehtinen , Michał Skrzypczak

We study the enumeration complexity of Unions of Conjunctive Queries(UCQs). We aim to identify the UCQs that are tractable in the sense that the answer tuples can be enumerated with a linear preprocessing phase and a constant delay between…

Databases · Computer Science 2021-05-07 Nofar Carmeli , Markus Kröll

The satisfiability problem for SPARQL patterns is undecidable in general, since the expressive power of SPARQL 1.0 is comparable with that of the relational algebra. The goal of this paper is to delineate the boundary of decidability of…

Databases · Computer Science 2016-06-03 Xiaowang Zhang , Jan Van den Bussche , François Picalausa

Constraint languages that arise from finite algebras have recently been the object of study, especially in connection with the Dichotomy Conjecture of Feder and Vardi. An important class of algebras are those that generate congruence…

Computational Complexity · Computer Science 2015-07-01 Emil Kiss , Matthew Valeriote

In the following paper, we present a simple method for sampling trees with or without replacement from BCFLs. A BCFL is a context-free language (CFL) corresponding to an incomplete string with holes, which can be completed by valid…

Formal Languages and Automata Theory · Computer Science 2024-08-13 Breandan Considine

We propose a fragment of many-sorted second order logic called EQSMT and show that checking satisfiability of sentences in this fragment is decidable. EQSMT formulae have an $\exists^*\forall^*$ quantifier prefix (over variables, functions…

Logic in Computer Science · Computer Science 2018-09-28 P. Madhusudan , Umang Mathur , Shambwaditya Saha , Mahesh Viswanathan

Nonterminal complexity of a context-free language is the smallest possible number of nonterminals in its generating grammar. While in general case nonterminal complexity computation problem is unsolvable, it can be computed for different…

Formal Languages and Automata Theory · Computer Science 2021-03-23 Dmitry Golubenko

Constraint LTL, a generalisation of LTL over Presburger constraints, is often used as a formal language to specify the behavior of operational models with constraints. The freeze quantifier can be part of the language, as in some real-time…

Logic in Computer Science · Computer Science 2007-05-23 Stéphane Demri , Ranko Lazic , David Nowak

Developing suitable formal semantics can be of great help in the understanding, design and implementation of a programming language, and act as a guide for software development tools like analyzers or partial evaluators. In this sense, full…

Logic in Computer Science · Computer Science 2010-02-16 F. J. López-Fraguas , J. Rodríguez-Hortalá

Drawing appropriate defeasible inferences has been proven to be one of the most pervasive puzzles of natural language processing and a recurrent problem in pragmatics. This paper provides a theoretical framework, called ``stratified…

cmp-lg · Computer Science 2008-02-03 Daniel Marcu , Graeme Hirst

The aim of this paper is to define a dependency grammar framework which is both linguistically motivated and computationally parsable. See the demo at http://www.conexor.fi/analysers.html#testing

cmp-lg · Computer Science 2007-05-23 Timo Jarvinen , Pasi Tapanainen

For a language $L$, we consider its cyclic closure, and more generally the language $C^k(L)$, which consists of all words obtained by partitioning words from $L$ into $k$ factors and permuting them. We prove that the classes of ET0L and…

Formal Languages and Automata Theory · Computer Science 2016-05-31 Tara Brough , Laura Ciobanu , Murray Elder , Georg Zetzsche

We study increasingly expressive type systems, from $F^\mu$ -- an extension of the polymorphic lambda calculus with equirecursive types -- to $F^{\mu;}_\omega$ -- the higher-order polymorphic lambda calculus with equirecursive types and…

Logic in Computer Science · Computer Science 2023-01-23 Diana Costa , Andreia Mordido , Diogo Poças , Vasco T. Vasconcelos

Algorithms of inference in a computer system oriented to input and semantic processing of text information are presented. Such inference is necessary for logical questions when the direct comparison of objects from a question and database…

Computation and Language · Computer Science 2012-02-02 Yuriy Ostapov

We investigate the decidability of model-checking logics of time, knowledge and probability, with respect to two epistemic semantics: the clock and synchronous perfect recall semantics in partially observed discrete-time Markov chains.…

Logic in Computer Science · Computer Science 2016-06-29 R van der Meyden , M K Patra

We consider the cyclic closure of a language, and its generalisation to the operators $C^k$ introduced by Brandst\"adt. We prove that the cyclic closure of an indexed language is indexed, and that if $L$ is a context-free language then…

Formal Languages and Automata Theory · Computer Science 2015-01-06 Tara Brough , Laura Ciobanu , Murray Elder

In this paper, we consider combining the ideas of forbidden random context grammars as well as of ordered grammars with cooperating distributed grammar systems (CDGS). We focus on investigating their generative capacities. Both ideas can be…

Formal Languages and Automata Theory · Computer Science 2026-04-23 Henning Fernau , Lakshmanan Kuppusamy , Jana Schulz

We study the complexity of predicate logics based on team semantics. We show that the satisfiability problems of two-variable independence logic and inclusion logic are both NEXPTIME-complete. Furthermore, we show that the validity problem…

Logic in Computer Science · Computer Science 2016-06-21 Juha Kontinen , Antti Kuusisto , Jonni Virtema
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