# Proof and refinement

### Correct Instantiation of a System Reconfiguration Pattern: A Proof and Refinement-Based Approach

**and**M1 in order to encode the behavior pattern described with the events Initialization, progress, fail, repair

**and**...objects

**and**thus not defined within the context ...inductive

**proof**...

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### Handling Refinement of Continuous Behaviors: A Refinement and Proof Based Approach with Event-B

**proof**obligations that are easily ...134

**proof**obligations, most of which are actually quite similar as the events are ...complicated

**and**often rely on the use of very generic ...132

**proof**...

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### Mixed Integer-Real Mathematical Analysis, and Lattice Refinement Approximation and Computation Paradigm

**and**a standard deviation which are O(h [ ω+1 α ] ). The

**proof**is similar to that of Theorem 5.2, but using Lemma 5.3 instead of Lemma 5.2. 6 Locally Analytical Functions All along this ...

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### Inductive representation, proofs and refinement of pointer structures

**and**fully automated methods that are usually incomplete or cover only very specific correctness ...Garcia

**and**Möller [59] carry out a verification by translation of the algorithm to PlusCal ...

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### Semantics and implementation of a refinement relation for behavioural models

**and**at each simulation states pair, there exists the inclusion of acceptance set (Π = {ht, ...The

**proof**of the reduction relation red is similar except that the simulation is ex- pressed in the opposite ...

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### On Tate’s refinement for a conjecture of Gross and its generalization

**and**another place in S splits in ...point

**and**to generalize it to arbitrary cyclic ...4.3

**and**Corollary ...new

**proof**of the Gross conjecture for arbitrary abelian extensions K/Q ...

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### Proof certificates in PVS

**refinement**of an intermediate decompo- sition of

**proof**steps which is already present in ...of

**proof**steps, the primitive rules. In PVS, every

**proof**step, including defined rules

**and**...

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### Translating Between Implicit and Explicit Versions of Proof

**and**complex theorem provers) from the checking of proofs (via smaller

**and**trusted ...a

**proof**should not be critical for checking a ...from

**proof**checkers using a simple, declarative ...

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### Software architectures: multi-scale refinement

**and**describes a progressive process of

**refinement**from a generic model describing a given point of view at a given scale to a specific model describing this point of view at another ...notations ...

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### A constructive and elementary proof of Reny's theorem

**proof**. Anyway, one could easily adapt the

**proof**above in order to obtain a simple (non constructive)

**proof**of Reny’s Theorem, without imposing that the strategy sets are Lindeloff ...

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### Proof Trick: Small Inversions

**and**“mul3 13 can only come from the second constructor T3, applied to ...the

**proof**term

**and**the underlying reasoning are quite large in the current implementation, which makes the corresponding ...

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### Formal Security Proof of CMAC and Its Variants

**and**may in fact be overwritten, losing its “randomness” for the next iteration where the events are ...entire

**proof**methodology relies on reasoning about values rather than distributions,

**and**...

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### Cell refinement of CsPbBr3 perovskite nanoparticles and thin films

**and**cooling, which indicates that there might be a preferred orientation or stronger distor- tion along the c-axis during the synthesis ...2+

**and**unit cell diﬀerences are attenuated owing to ...

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### Nearwell local space and time refinement in reservoir simulation

**Refinement**(LGR) is commonly used in reservoir simulations in the nearwell regions, current commercial simulators still make use of a single time stepping on the whole reservoir ...cells

**and**by the ...

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### Conceptual (and hence mathematical) explanation, conceptual grounding and proof

**and**in this sense they contribute to making us understand why the phenomenon ...ideas

**and**what Salmon (1984) calls the nomic expectability, namely expectability on the basis of laws or ...supported ...

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### Proof Normalization Modulo

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### Proof of Behavior

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### Denotational proof languages

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### Strategy-proof preference aggregation

**and**seem to agree that some aggregation rules (such as the Borda rule, for instance) are somehow “more vulnerable to misrepresentations” than ...Bossert

**and**Storcken (1992). An aggregation rule is ...

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### Generalized Proof Number Search

**Proof**Number Search (GPNS) un algorithme fondé sur les

**Proof**Numbers, per- mettant d’obtenir la valeur de positions dans des jeux à multiples ...de

**Proof**Number Search (PNS) : dans le cas ...

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