Efficiently Simulating Higher-Order Arithmetic by a First-Order Theory Modulo [PDF]
In deduction modulo, a theory is not represented by a set of axioms but by a congruence on propositions modulo which the inference rules of standard deductive systems---such as for instance natural deduction---are applied.
Guillaume Burel
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A Type System Describing Unboundedness [PDF]
We consider nondeterministic higher-order recursion schemes as recognizers of languages of finite words or finite trees. We propose a type system that allows to solve the simultaneous-unboundedness problem (SUP) for schemes, which asks, given a set of ...
Paweł Parys
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Constrained ear decompositions in graphs and digraphs [PDF]
Ear decompositions of graphs are a standard concept related to several major problems in graph theory like the Traveling Salesman Problem. For example, the Hamiltonian Cycle Problem, which is notoriously N P-complete, is equivalent to deciding whether a ...
Frédéric Havet, Nicolas Nisse
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On interval number in cycle convexity [PDF]
Recently, Araujo et al. [Manuscript in preparation, 2017] introduced the notion of Cycle Convexity of graphs. In their seminal work, they studied the graph convexity parameter called hull number for this new graph convexity they proposed, and they ...
Julio Araujo +3 more
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On the computational power and complexity of Spiking Neural Networks [PDF]
The last decade has seen the rise of neuromorphic architectures based on artificial spiking neural networks, such as the SpiNNaker, TrueNorth, and Loihi systems.
Johan Kwisthout, N. Donselaar
semanticscholar +1 more source
On the Complexity of Multi-Agent Decision Making: From Learning in Games to Partial Monitoring [PDF]
A central problem in the theory of multi-agent reinforcement learning (MARL) is to understand what structural conditions and algorithmic principles lead to sample-efficient learning guarantees, and how these considerations change as we move from few to ...
Dylan J. Foster +3 more
semanticscholar +1 more source
Toward the asymptotic count of bi-modular hidden patterns under probabilistic dynamical sources: a case study [PDF]
Consider a countable alphabet $\mathcal{A}$. A multi-modular hidden pattern is an $r$-tuple $(w_1,\ldots , w_r)$, where each $w_i$ is a word over $\mathcal{A}$ called a module.
Loïck Lhote, Manuel E. Lladser
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Permutation Pattern matching in (213, 231)-avoiding permutations [PDF]
Given permutations σ of size k and π of size n with k < n, the permutation pattern matching problem is to decide whether σ occurs in π as an order-isomorphic subsequence.
Both Neou +2 more
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Improved Quantum Communication Complexity Bounds for Disjointness and Equality [PDF]
We prove new bounds on the quantum communication complexity of the disjointness and equality problems. For the case of exact and non-deterministic protocols we show that these complexities are all equal to n+1, the previous best lower bound being n/2. We
A. Razborov +9 more
core +4 more sources
Source coding by efficient selection of ground states clusters [PDF]
In this letter, we show how the Survey Propagation algorithm can be generalized to include external forcing messages, and used to address selectively an exponential number of glassy ground states. These capabilities can be used to explore efficiently the
Battaglia, Demian +3 more
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