Extending Lambek grammars(cid:1) a logical account of minimalist grammars

Extending Lambek grammars(cid:1) a logical account of minimalist grammars
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扩展 Lambek 语法(cid:1)极简语法的逻辑说明

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发表时间:
2007
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通讯作者:
Christian Retorez
Christian Retorez
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作者:
Alain Lecomtey;Christian Retorez

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我们给出了最简语法(CID:4)的逻辑描述(CID:20),它们是稳定的(CID:3)乔姆斯基(CID:3)的S形式化(CID:18)S最小程序(CID:18)我们的逻辑描述(CID:20)甚至比原始的(CID:4)更简单导致(CID:21)(CID:6)与范畴语法(CID:4)的巧妙关系产生了蒙太古语义学(CID:18)(CID:6)的解析(CID:6:6)在一些资源敏感逻辑(CID:6)中的推导基于类型(CID:6)算法和类型(CID:6)的结构化数据的学习算法(CID:6)uni(CID:20)阳离子(CID:18)我们对极简文法的看法也是Lambek文法的扩展(CID:21)我们保留了它们的基本词汇主义和逻辑观(CID:18)由于de Groote(CID:4),通过使用混合交换(CID:22)非交换逻辑提高了生成能力,并且该逻辑不像在Lambek文法(CID:21)中那样使用)(CID:6)乘积是必需的(CID:4)因为它编码移动(CID:6)到目前为止不需要假设推理(CID:4)I(CID:18)e(CID:18)我们只有在经典(CID:16)AB(CID:17)范畴语法或组合范畴语法(CID:6)中的排除规则该证明决定了价位(CID:6)的消耗,但词序是通过简单的装置(CID:16)从证明中计算出来的与Lambek语法(CID:17)(CID:18)相比,价态(CID:6)消耗更多(CID:23)
We provide a logical de(cid:20)nition of Minimalist grammars(cid:4) that are Stabler(cid:3)s formalization of Chomsky(cid:3)s minimalist program(cid:18) Our logical de(cid:20)nition(cid:4) even simpler than the original one(cid:4) leads to(cid:21) (cid:6) a neat relation to categorial grammar(cid:4) yielding a treatment of Montague semantics(cid:18) (cid:6) a parsing(cid:6)as(cid:6)deduction in some resource sensitive logic (cid:6) a learning algorithm from structured data based on a typing(cid:6)algorithm and type(cid:6)uni(cid:20)cation(cid:18) Our view of minimalist grammars also is an extension of Lambek grammars(cid:21) we keep their radical lexicalism and logical view(cid:18) The generative capacity is increased by using a mixed commutative (cid:22) non commutative logic due to de Groote(cid:4) and this logic is not used as in Lambek grammars(cid:21) (cid:6) product is essential(cid:4) since it encodes movement (cid:6) up to now hypothetical reasonning is not needed(cid:4) i(cid:18)e(cid:18) we only have elimination rules as in classical (cid:16)AB(cid:17) categorial grammars or combinatory categorial grammars (cid:6) the proof determines the consumption of the valencies (cid:6) but word order is computed from the proof by a simple device (cid:16)the relation between word(cid:6)order and valency(cid:6)consumption is more (cid:23)exible than in Lambek grammars(cid:17)(cid:18)