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The strength of a dynamic language is also its weakness: run-time flexibility comes at the cost of compile-time predictability. Many of the hallmarks of dynamic languages such as closures, continuations, various forms of reflection, and a…

Programming Languages · Computer Science 2014-08-18 J. Ian Johnson , David Van Horn

This paper examines several measures of space complexity of variants of stack automata: non-erasing stack automata and checking stack automata. These measures capture the minimum stack size required to accept every word in the language of…

Formal Languages and Automata Theory · Computer Science 2022-12-05 Oscar H. Ibarra , Jozef Jirásek , Ian McQuillan , Luca Prigioniero

Alternating timed automata on infinite words are considered. The main result is a characterization of acceptance conditions for which the emptiness problem for these automata is decidable. This result implies new decidability results for…

Logic in Computer Science · Computer Science 2015-07-01 Pawel Parys , Igor Walukiewicz

Propositional term modal logic is interpreted over Kripke structures with unboundedly many accessibility relations and hence the syntax admits variables indexing modalities and quantification over them. This logic is undecidable, and we…

Logic in Computer Science · Computer Science 2019-01-01 Anantha Padmanabha , R Ramanujam

Probabilistic B\"uchi Automata (PBA) are randomized, finite state automata that process input strings of infinite length. Based on the threshold chosen for the acceptance probability, different classes of languages can be defined. In this…

Formal Languages and Automata Theory · Computer Science 2015-07-01 Rohit Chadha , A. Prasad Sistla , Mahesh Viswanathan

We consider the problem of state-space reduction for nondeterministic weakly-hierarchical visibly pushdown automata (VPA). VPA recognize a robust and algorithmically tractable fragment of context-free languages that is natural for modeling…

Formal Languages and Automata Theory · Computer Science 2017-04-19 Matthias Heizmann , Christian Schilling , Daniel Tischner

We consider a class of finite state three-tape transducers which models the operation of shuffling and splitting words. We present them as automata over the so-called Shuffling Monoid. These automata can be seen as either shufflers or…

Formal Languages and Automata Theory · Computer Science 2024-07-04 Ignacio Mollo Cunningham

We study the relation between the standard two-way automata and more powerful devices, namely, two-way finite automata with an additional "pebble" movable along the input tape. Similarly as in the case of the classical two-way machines, it…

Formal Languages and Automata Theory · Computer Science 2009-07-30 Viliam Geffert , Lubomíra Ištoňová

Accessible groups for which the language of all words defining the identity is accepted by a certain class of nested stack automata are virtually free.

Group Theory · Mathematics 2007-05-23 Robert Gilman Michael Shapiro

It is well known that the "store language" of every pushdown automaton -- the set of store configurations (state and stack contents) that can appear as an intermediate step in accepting computations -- is a regular language. Here many…

Formal Languages and Automata Theory · Computer Science 2019-03-08 Oscar H. Ibarra , Ian McQuillan

An automaton is universal if it accepts every possible input. We study the notion of u-universality, which asserts that the automaton accepts every input starting with u. Universality and u-universality are both EXPTIME-hard for…

Formal Languages and Automata Theory · Computer Science 2012-05-15 Véronique Bruyère , Marc Ducobu , Olivier Gauwin

Since the early Sixties and Seventies it has been known that the regular and context-free languages are characterized by definability in the monadic second-order theory of certain structures. More recently, these descriptive…

cmp-lg · Computer Science 2016-08-31 James Rogers

Context-free approaches to static analysis gain precision over classical approaches by perfectly matching returns to call sites---a property that eliminates spurious interprocedural paths. Vardoulakis and Shivers's recent formulation of…

Programming Languages · Computer Science 2010-07-27 Christopher Earl , Matthew Might , David Van Horn

A turn in a computation of a pushdown automaton is a switch from a phase in which the height of the pushdown store increases to a phase in which it decreases. Given a pushdown or one-counter automaton, we consider, for each string in its…

Formal Languages and Automata Theory · Computer Science 2026-03-10 Giovanni Pighizzini

This work studies which storage mechanisms in automata permit decidability of the emptiness problem. The question is formalized using valence automata, an abstract model of automata in which the storage mechanism is given by a monoid. For…

Formal Languages and Automata Theory · Computer Science 2017-10-23 Georg Zetzsche

Recent efforts on training visual navigation agents conditioned on language using deep reinforcement learning have been successful in learning policies for different multimodal tasks, such as semantic goal navigation and embodied question…

Machine Learning · Computer Science 2019-02-05 Devendra Singh Chaplot , Lisa Lee , Ruslan Salakhutdinov , Devi Parikh , Dhruv Batra

We give a new version of fuzzy alternating $\mathrm{B\ddot{u}chi}$ automata over distributive lattices: weights are putting in every leaf node of run trees rather than along with edges from every node to its children. Such settings are…

Formal Languages and Automata Theory · Computer Science 2016-03-16 Xiujuan Wei , Yongming Li

Recently there has been a significant effort to handle quantitative properties in formal verification and synthesis. While weighted automata over finite and infinite words provide a natural and flexible framework to express quantitative…

Formal Languages and Automata Theory · Computer Science 2015-04-24 Krishnendu Chatterjee , Thomas A. Henzinger , Jan Otop

The store language of a machine of some arbitrary type is the set of all store configurations (state plus store contents but not the input) that can appear in an accepting computation. New algorithms and characterizations of store languages…

Formal Languages and Automata Theory · Computer Science 2020-10-02 Oscar H. Ibarra , Ian McQuillan

We develop the theory of strong and commutative monads in the 2-dimensional setting of bicategories. This provides a framework for the analysis of effects in many recent models which form bicategories and not categories, such as those based…

Logic in Computer Science · Computer Science 2024-06-12 Hugo Paquet , Philip Saville