On the expressivity of elementary linear logic
Elementary linear logic is a simple variant of linear logic due to Girard and which characterizes in the proofs-as-programs approach the class of elementary functions, that is to say functions computable in time bounded by a tower of exponentials of ...
An abstract approach to stratification in linear logic
We study the notion of stratification, as used in subsystems of linear logic with low complexity bounds on the cut-elimination procedure (the so-called "light" subsystems), from an abstract point of view, introducing a logical system in which ...
Quantitative classical realizability
Introduced by Dal Lago and Hofmann, quantitative realizability is a technique used to define models for logics based on Multiplicative Linear Logic. A particularity is that functions are interpreted as bounded time computable functions. It has been used ...
Formal security proofs with minimal fuss
We show how implicit computational complexity can be used in order to increase confidence in game-based security proofs in cryptography. For this purpose we extend CSLR, a probabilistic lambda-calculus with a type system that guarantees the existence of ...
A higher-order characterization of probabilistic polynomial time
We present RSLR , an implicit higher-order characterization of the class PP of those problems which can be decided in probabilistic polynomial time with error probability smaller than 1 2 . Analogously, a (less implicit) characterization of the class ...
Entropy of regular timed languages
To study the size of regular timed languages, we generalize a classical approach introduced by Chomsky and Miller for discrete automata: count words having n symbols, and compute the exponential growth rate of their number (entropy). For timed automata, ...
The complexity of multi-mean-payoff and multi-energy games
- Yaron Velner,
- Krishnendu Chatterjee,
- Laurent Doyen,
- Thomas A. Henzinger,
- Alexander Rabinovich,
- Jean-François Raskin
In mean-payoff games, the objective of the protagonist is to ensure that the limit average of an infinite sequence of numeric weights is nonnegative. In energy games, the objective is to ensure that the running sum of weights is always nonnegative. ...
Power of the interactive proof systems with verifiers modeled by semi-quantum two-way finite automata
Interactive proof systems (IP) are very powerful - languages they can accept form exactly PSPACE. They represent also one of the very fundamental concepts of theoretical computing and a model of computation by interactions. One of the key players in IP ...
Approximate periodicity
Finding an approximate period in a given string S of length n is defined as follows. Let S ' be a periodic string closest to S under some distance metric, find the smallest period of S ' . This period is called an approximate period of S under the given ...
Session typing and asynchronous subtyping for the higher-order π-calculus
This paper proposes a session typing system for the higher-order π-calculus (the HOπ-calculus) with asynchronous communication subtyping, which allows partial commutativity of actions in higher-order processes. The system enables two complementary kinds ...
Normality and two-way automata
We prove that two-way transducers (both deterministic and non-deterministic) cannot compress normal numbers. To achieve this, we first show that it is possible to generalize compressibility from one-way transducers to two-way transducers. These results ...
Computability and realizability for interactive computations
This paper deals with computability of interactive computations. It aims at the characterization and analysis of a general concept of interactive computation as a basis for the extension and generalization of the notion of computability to interactive ...
Checking determinism of regular expressions with counting
In this paper, we first present characterizations of weak determinism for regular expressions with counting, based on which we develop an O ( | Σ E | | E | ) time algorithm to check whether an expression E with counting is weakly deterministic, where Σ ...
Parametric multisingular hybrid Petri nets
Multisingular hybrid Petri net (MSHPN) is an extension of hybrid Petri nets enriched with the capabilities of hybrid automata to achieve the practical expressive power of multisingular hybrid automata. In this paper, we define parametric multisingular ...